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189962040 = 233511314009
BaseRepresentation
bin10110101001010…
…01011100111000
3111020110001221010
423110221130320
5342112241130
630503313520
74464436122
oct1324513470
9436401833
10189962040
1198257324
125374b8a0
1330481398
141b32c212
1511a250b0
hexb529738

189962040 has 64 divisors (see below), whose sum is σ = 574970400. Its totient is φ = 50204672.

The previous prime is 189962023. The next prime is 189962041. The reversal of 189962040 is 40269981.

189962040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 189962040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189962041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6556 + ... + 20564.

Almost surely, 2189962040 is an apocalyptic number.

189962040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189962040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287485200).

189962040 is an abundant number, since it is smaller than the sum of its proper divisors (385008360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

189962040 is a wasteful number, since it uses less digits than its factorization.

189962040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14136 (or 14132 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 189962040 is about 13782.6717293854. The cubic root of 189962040 is about 574.8514197071.

The spelling of 189962040 in words is "one hundred eighty-nine million, nine hundred sixty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 13560 14009 28018 42027 56036 70045 84054 112072 140090 168108 210135 280180 336216 420270 560360 840540 1583017 1681080 3166034 4749051 6332068 7915085 9498102 12664136 15830170 18996204 23745255 31660340 37992408 47490510 63320680 94981020 189962040